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Thermal buckling analysis of moderately thick functionally graded annular sector plates

机译：中厚功能梯度环形扇形板的热屈曲分析

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In this article, thermal buckling analysis of moderately thick functionally graded annular sector plate is studied. The equilibrium and stability equations are derived using first order shear deformation plate theory. These equations are five highly coupled partial differential equations. By using an analytical method, the coupled stability equations are replaced by four decoupled equations. Solving the decoupled equations and satisfying the boundary conditions, the critical buckling temperature is found analytically. To this end, it is assumed that the annular sector plate is simply supported in radial edges and it has arbitrary boundary conditions along the circular edges. Thermal buckling of functionally graded annular sector plate for two types of thermal loading, uniform temperature rise and gradient through the thickness, are investigated. Finally, the effects of boundary conditions, power law index, plate thickness, annularity and sector angle on the critical buckling temperature of functionally graded annular sector plates are discussed in details.
机译：本文研究了中等厚度的功能梯度环形扇形板的热屈曲分析。使用一阶剪切变形板理论推导了平衡和稳定性方程。这些方程是五个高度耦合的偏微分方程。通过使用解析方法，将耦合稳定性方程式替换为四个解耦方程式。求解解耦方程并满足边界条件，可以找到临界屈曲温度。为此，假设环形扇形板被简单地支撑在径向边缘中并且沿圆形边缘具有任意边界条件。研究了功能梯度环形扇形板在两种类型的热负荷下的热屈曲，即均匀的温度升高和厚度方向的梯度。最后，详细讨论了边界条件，幂律指数，板厚，环形度和扇形角对功能梯度环形扇形板的临界屈曲温度的影响。

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